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Simplifying 4(x + 8) + 2(3x + -6) = 60 Reorder the terms: 4(8 + x) + 2(3x + -6) = 60 (8 * 4 + x * 4) + 2(3x + -6) = 60 (32 + 4x) + 2(3x + -6) = 60 Reorder the terms: 32 + 4x + 2(-6 + 3x) = 60 32 + 4x + (-6 * 2 + 3x * 2) = 60 32 + 4x + (-12 + 6x) = 60 Reorder the terms: 32 + -12 + 4x + 6x = 60 Combine like terms: 32 + -12 = 20 20 + 4x + 6x = 60 Combine like terms: 4x + 6x = 10x 20 + 10x = 60 Solving 20 + 10x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 10x = 60 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 60 + -20 10x = 60 + -20 Combine like terms: 60 + -20 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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